Results 151 to 160 of about 2,392,564 (201)

A Prediction-Enhanced Polynomial Kalman Filter Using Higher-Order Predictive Representations for State Estimation. [PDF]

Sensors (Basel)
Long J, Zhang H, Wen C.
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Exact solutions and instability analysis of a fifth-order nonlinear evolution equation exhibiting multi-scale wave structures. [PDF]

Sci Rep
Hasan WM, Ahmed HM, Ahmed AM, Rezk HM, Rabie WB.   +4 more
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Lie Classification and Symmetry-Preserving Reduced-Order Modeling of Nonlinear Electrostatic MEMS. [PDF]

Micromachines (Basel)
Versaci M, Morabito FC.
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Applications of lump, breather, rogue, and various nonlinear waves in the modeling of blood vessels: analysis of the nonlinear Murray equation with heterogeneous wall properties. [PDF]

Cogn Neurodyn
Baloch SA, Zafar A.
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Mode-Selective Nonlinearity in a Monolithic Slitted Piezoelectric Energy Harvester: Symmetry-Controlled Internal Resonance, Saturation, and Differential Bistability. [PDF]

Sensors (Basel)
Almokmesh SF, Alzuwayer BB.
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Riccati-based analytical framework for solving the potential Korteweg-de Vries equation. [PDF]

Sci Rep
Jawarneh Y, Mukhtar S, Islam S, Amadou Y.   +3 more
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Bio-Inspired Controller Design via Dholes-Inspired Optimization: A Novel Gompertz Function-Augmented PID Strategy for Electro-Hydraulic Actuator Control. [PDF]

Biomimetics (Basel)
Güngör Mİ, Izci D, Ekinci S.
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Design of a Multistable Cantilever Piezoelectric Vibration Energy Harvester with Nonlinear Force Customization. [PDF]

Sensors (Basel)
Luo E, Li F, Jin X, Zhang X, Rao Z, Zou D.   +5 more
europepmc   +1 more source

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Nonlinear Differential Equations Equivalent to Solvable Nonlinear Equations

SIAM Journal on Mathematical Analysis, 1976
This paper shows in a simple and direct way the equivalence of the nonlinear differential equation $y'' + r(x)y' + q(x)Z(y) = A(y)y'^2 + g(x)z(y)[u(y)]^a $, $Z(y) = z(y)u(y)$, to the linear equation $L_1 u = g(x)$, $a = 0$, or to the nonlinear equation $L_1 u = g(x)u^a $, $a \ne 0$, where $L_1 = {{d^2 } / {dx^2 }} + r(x){d / {dx}} + q(x)$.
Klamkin, Murray S., Reid, James L.
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ON BIFURCATION OF NONLINEAR EQUATIONS

Acta Mathematica Scientia, 1981
Abstract In this paper we discuss in the Banach space the Banach space the bifurcation problem of the nonlinear equation F (γ, x) = 0 with trivial solution (γ, o). The sufficient conditions are given for (γ0, o) to be a bifurcation point of this equation, and the stability of the corresponding branching solutions is studied.
Fang, Dexing, Liu, Jiaquan
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